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Article
The quantic conuclei on quantales
In this paper, the main purpose is to investigate some properties of quantic conuclei. Firstly, the concept of an ideal conucleus is introduced and a characterization for a map to be an ideal conucleus is give...
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Article
Remark on the Unital Quantale Q[e]
In this paper, we investigate some properties of the unital quantale Q[e], in terms of the quantic quotients of Q[e] we study the extensions of quantic nuclei of Q to Q[e] and prove that for any non-trivial quant...
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Article
A note on the number of subquantales
In this note, it is proved for n ≤ 5 that if Q is a finite quantale with |Q| ≥ n, then there are at least n subquantales of Q. However, the result does not hold when |Q| ≥ 6. Also, an example is given of a sequen...
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Article
On the power-set \(Q\) -algebras
\(Q\) Q
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Article
Open AccessMetformin sensitizes the response of oral squamous cell carcinoma to cisplatin treatment through inhibition of NF-κB/HIF-1α signal axis
Resistance towards chemotherapy is a common complication in treatment of oral cancers, which leads to treatment failure and poor outcome. In recent years, a growing body of evidence has shown that tumour hypox...
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Article
On the homomorphisms of power-set Q-algebras
We continue the study of homomorphisms between power-set Q-algebras. First, by means of decomposed ul-Q-relations between ordered semigroups we give a general characterization for the homomorphisms between power-...
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Article
Open AccessErratum: Metformin sensitizes the response of oral squamous cell carcinoma to cisplatin treatment through inhibition of NF-κB/HIF-1α signal axis
Scientific Reports 6: Article number: 35788; published online: 20 October 2016; updated: 24 February 2017 The original version of this Article contained a typographical error in the spelling of the author Weng...
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Article
The Unitality of Quantum B-algebras
Quantum B-algebras as a generalization of quantales were introduced by Rump and Yang, which cover the majority of implicational algebras and provide a unified semantic for a wide class of substructural logics....
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Article
Representation theorems for Q-algebras
Q-algebras generalize quantales and Q-modules, and play an important role in the study of lattice-valued quantales, lattice-valued frames and stratified lattice-valued topological spaces. Motivated by representat...
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Article
Metformin enhances gefitinib efficacy by interfering with interactions between tumor-associated macrophages and head and neck squamous cell carcinoma cells
Tumor-associated macrophages (TAMs) play an important role in drug resistance in many tumors, including head and neck squamous cell carcinoma (HNSCC). However, how TAMs interact with HNSCC cells to induce drug...
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Article
On the quantale of quantic nuclei
It is well known that the set \(\textit{NL}\)NL of all nuclei on a frame L is again a frame with the pointwise order. As a non-commutative generalization of frames, quantales were introduced by Mulvey in 1986. Ni...
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Article
Cancer‐associated fibroblasts secrete hypoxia‐induced serglycin to promote head and neck squamous cell carcinoma tumor cell growth in vitro and in vivo by activating the Wnt/β-catenin pathway
The tumor microenvironment (TME) is known to play a prominent role in the pathology of head and neck squamous cell carcinoma (HNSCC). Cancer-associated fibroblasts (CAFs) have been reported to regulate tumor p...
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Article
A Few Notes on Quantum B-algebras
In order to provide a unified framework for studying non-commutative algebraic logic, Rump and Yang used three axioms to define quantum B-algebras, which can be seen as implicational subreducts of quantales. Base...
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Article
Open AccessMultifunctional photodynamic/photothermal nano-agents for the treatment of oral leukoplakia
Oral leukoplakia (OLK) has gained extensive attention because of the potential risk for malignant transformation. Photosensitizers (PSs) played an indispensable role in the photodynamic therapy (PDT) of OLK, b...
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Article
Some partial results on the cancellation law for the tensor product of complete lattices
In this paper we study the cancellation law for the tensor product in the category \(\mathsf {Sup}\) Sup ...
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Article
Open AccessThrombus-targeted nano-agents for NIR-II diagnostic fluorescence imaging-guided flap thromboembolism multi-model therapy
In oral and maxillofacial surgery, flap repair is essential to the quality of postoperative life. Still, thrombosis is fatal for the survival of the flaps. Besides, some postoperative thrombotic diseases, such...